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2022412314352 = 241733141275443
BaseRepresentation
bin11101011011100001001…
…010101110011011110000
321011100012101120101101211
4131123201022232123300
5231113400023024402
64145030002405504
7266054156014303
oct35334112563360
97140171511354
102022412314352
1170a778033331
12287b59960894
13118935949a41
146dc572bcb3a
153791a9034d7
hex1d6e12ae6f0

2022412314352 has 80 divisors (see below), whose sum is σ = 4163226964992. Its totient is φ = 948443950080.

The previous prime is 2022412314337. The next prime is 2022412314409. The reversal of 2022412314352 is 2534132142202.

It is a happy number.

It is a super-2 number, since 2×20224123143522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371559343 + ... + 371564785.

Almost surely, 22022412314352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022412314352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081613482496).

2022412314352 is an abundant number, since it is smaller than the sum of its proper divisors (2140814650640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2022412314352 is a wasteful number, since it uses less digits than its factorization.

2022412314352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9926 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 2022412314352 its reverse (2534132142202), we get a palindrome (4556544456554).

The spelling of 2022412314352 in words is "two trillion, twenty-two billion, four hundred twelve million, three hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 331 662 1324 2648 4127 5296 5443 5627 8254 10886 11254 16508 21772 22508 33016 43544 45016 66032 70159 87088 90032 92531 140318 185062 280636 370124 561272 740248 1122544 1366037 1480496 1801633 2732074 3603266 5464148 7206532 10928296 14413064 21856592 22463261 23222629 28826128 30627761 44926522 46445258 61255522 89853044 92890516 122511044 179706088 185781032 245022088 359412176 371562064 381875437 490044176 763750874 1527501748 3055003496 6110006992 7435339391 14870678782 29741357564 59482715128 118965430256 126400769647 252801539294 505603078588 1011206157176 2022412314352